EXERCISE HINTS: GETTING STARTED I I'M STUCK! An AC generator is to have a maximum output of 311 V. Each coil has an area of 0.133 m2 and a resistance of 16.4 N and rotates in a magnetic field of 0.651 T with a frequency of 44.0 Hz, with the axis of rotation perpendicular to the direction of the magnetic field. (a) How many turns of wire should the coil have to produce the desired emf? N = turns (b) Find the maximum current induced in the coil. Imax A (c) Determine the induced emf as a function of time. V)sin

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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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PRACTICE IT
Use the worked example above to help you solve this problem. An AC generator consists of eight turns of
wire, each having area A = 0.0930 m2, with a total resistance of 10.2 N. The loop rotates in a magnetic
field of 0.577 Tat a constant frequency of 61.6 Hz.
(a) Find the maximum induced emf.
166.15
(b) What is the maximum induced current?
16.29
A
(c) Determine the induced emf and current as functions of time.
E = (166.15 v)sin(wt)
%3D
I = (16.29
v A)sin(wt)
w = 387
(d) What maximum torque must be applied to keep the coil turning?
6.99
N.m
EXERCISE
HINTS: GETTING STARTED | 'M STUCK!
An AC generator is to have a maximum output of 311 V. Each coil has an area of 0.133 m2 and a
resistance of 16.4 N and rotates in a magnetic field of 0.651 T with a frequency of 44.0 Hz, with the axis
of rotation perpendicular to the direction of the magnetic field.
(a) How many turns of wire should the coil have to produce the desired emf?
N =|
turns
(b) Find the maximum current induced in the coil.
Imax
A
(c) Determine the induced emf as a function of time.
V)sin
E =
Transcribed Image Text:PRACTICE IT Use the worked example above to help you solve this problem. An AC generator consists of eight turns of wire, each having area A = 0.0930 m2, with a total resistance of 10.2 N. The loop rotates in a magnetic field of 0.577 Tat a constant frequency of 61.6 Hz. (a) Find the maximum induced emf. 166.15 (b) What is the maximum induced current? 16.29 A (c) Determine the induced emf and current as functions of time. E = (166.15 v)sin(wt) %3D I = (16.29 v A)sin(wt) w = 387 (d) What maximum torque must be applied to keep the coil turning? 6.99 N.m EXERCISE HINTS: GETTING STARTED | 'M STUCK! An AC generator is to have a maximum output of 311 V. Each coil has an area of 0.133 m2 and a resistance of 16.4 N and rotates in a magnetic field of 0.651 T with a frequency of 44.0 Hz, with the axis of rotation perpendicular to the direction of the magnetic field. (a) How many turns of wire should the coil have to produce the desired emf? N =| turns (b) Find the maximum current induced in the coil. Imax A (c) Determine the induced emf as a function of time. V)sin E =
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